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Finding the Third Proportional to 283,767 and 423,190

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Solution

The third proportional to 283,767 and 423,190 is: 631,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,767 : 423,190 = 423,190 : x
  2. Step 2: Convert to fraction form
    283,767/423,190 = 423,190/x
  3. Step 3: Cross multiply
    283,767x = 423,190 × 423,190
  4. Step 4: Simplify right side
    283,767x = 179,089,776,100
  5. Step 5: Solve for x
    x = 179,089,776,100/283,767
  6. Step 6: Final answer
    x = 631,115.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.